Finding the Third Proportional to 47,376 and 101,316

Step by Step Solution

1. Step 1: Write the proportion equation
   47,376 : 101,316 = 101,316 : x
2. Step 2: Convert to fraction form
   47,376/101,316 = 101,316/x
3. Step 3: Cross multiply
   47,376x = 101,316 × 101,316
4. Step 4: Simplify right side
   47,376x = 10,264,931,856
5. Step 5: Solve for x
   x = 10,264,931,856/47,376
6. Step 6: Final answer
   x = 216,669.45